Alternating Current

Power


Power loss

Therefore, efficiency of transmission


(approx.)

The formula for electrical power has been derived from Ohm’s Law. It connects time, voltage, and charge. The formula for electric power is:

P = IV

By Ohm’s Law, it can also be written as:

P = I²R

Or

P = V²/R

Where,

P = Electric Power

I = Electric current

R = Resistance

V = Voltage or Potential difference

Power is the pace at which energy is used. Depending on whatever way the power integral is pointing, the electric circuit element alternates between being positive and negative repeatedly over a period of time. Power consumption may be stated as follows if the power remains constant across the time period:

E = Pt

P = E/t

Where,

• E = Energy Produced
• P = Power Consumption
• T = Time period

The correct answer is :Option 4

Step 1: The applied voltage across the series LCR circuit is given as:

This is the peak voltage, so the RMS voltage is:

Step 2: In a series LCR circuit, the total applied voltage is the vector sum of the voltages across the resistor ( ), the capacitor ( ), and the inductor ( ). These voltages are related by:

We are given that the RMS voltage across the resistor is , and the RMS voltage across the capacitor is . The RMS voltage across the inductor can be found using the formula:

Substituting the known values:

Thus, the RMS voltage across the inductor is , and the peak voltage is: